document.write( "Question 824835: the growth of a herd of a bison follows the rule P(t) = P( base 0 )(2^(t/10) where P(base 0) represents the initial population and P(t) represents population after x years. In how many years will the bison population quadruple its initial population?
\n" ); document.write( "Thanks in advance:) \n" ); document.write( "

Algebra.Com's Answer #496802 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
You mean this:
\n" ); document.write( " $\"P%28t%29=P%5B0%5D2%5E%28t%2F10%29\"$ ;-----if this is not rendering properly, the exponent is $\"%28t%2F10%29\"$
\n" ); document.write( "The initial population's variable is said as, \"P sub zero\". The BASE in your function is 2. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your question is to find x for when P(x) is $\"4%2AP%5B0%5D\"$ . You need to decide if you want to call the time variable, x or call it t. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We can, for scribing purposes, just say initial population is p and we want t when $\"P%28t%29=4%2Ap\"$ .
\n" ); document.write( " $\"4p=p%2A2%5E%28t%2F10%29\"$
\n" ); document.write( " $\"4=2%5E%28t%2F10%29\"$
\n" ); document.write( " $\"log%2810%2C4%29=log%2810%2C%282%5E%28t%2F10%29%29%29\"$
\n" ); document.write( " $\"log%2810%2C4%29=%28t%2F10%29log%2810%2C2%29\"$
\n" ); document.write( " $\"t%2F10=%28log%2810%2C4%29%29%2F%28log%2810%2C2%29%29\"$
\n" ); document.write( " $\"highlight%28t=10%2A%28log%2810%2C4%29%29%2F%28log%2810%2C2%29%29%29\"$ ----------the computation has not been completed, so it is for you to finish. \n" ); document.write( "

\n" );